Pith Number

pith:4YSLCFZB

pith:2013:4YSLCFZB4M4LJQ6EMQ56IOBMGC

not attested not anchored not stored refs pending

Group distance magic graphs $G\times C_n$

Sylwia Cichacz

arxiv:1302.6561 v1 · 2013-02-26 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YSLCFZB4M4LJQ6EMQ56IOBMGC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:29:11.185622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e624b11721e338b4c3c4643be4382c309e0ba1d6cc5fdb6df4f5a4fe342723c0

Aliases

arxiv: 1302.6561 · arxiv_version: 1302.6561v1 · doi: 10.48550/arxiv.1302.6561 · pith_short_12: 4YSLCFZB4M4L · pith_short_16: 4YSLCFZB4M4LJQ6E · pith_short_8: 4YSLCFZB

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4YSLCFZB4M4LJQ6EMQ56IOBMGC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e624b11721e338b4c3c4643be4382c309e0ba1d6cc5fdb6df4f5a4fe342723c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "469acb7db032626bbb81f4876341c2161960e99d9109a6719ae2985da110440a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-26T20:11:29Z",
    "title_canon_sha256": "ee80fc07033a2447e36ca91f34e022b6251c892d5444f1caa5ad368ab59e42c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.6561",
    "kind": "arxiv",
    "version": 1
  }
}